1025207040 has 288 divisors, whose sum is σ = 3848737536. Its totient is φ = 229294080.

The previous prime is 1025206969. The next prime is 1025207041. The reversal of 1025207040 is 407025201.

It is a junction number, because it is equal to n+sod(n) for n = 1025206998 and 1025207016.

It is not an unprimeable number, because it can be changed into a prime (1025207041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548187 + ... + 550053.

It is an arithmetic number, because the mean of its divisors is an integer number (13363672).

Almost surely, 2^1025207040 is an apocalyptic number.

1025207040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924368768).

1025207040 is an abundant number, since it is smaller than the sum of its proper divisors (2823530496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025207040 is a wasteful number, since it uses less digits than its factorization.

1025207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1025207040 is about 32018.8544454670. The cubic root of 1025207040 is about 1008.3327195922.

The spelling of 1025207040 in words is "one billion, twenty-five million, two hundred seven thousand, forty".